Spanning Tree Problem With Neutrosophic Edge Weights
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| Author | : Said Broumi |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : |
| ISBN | : |
Neutrosophic set and neutrosophic logic theory are renowned theories to deal with complex, not clearly explained and uncertain real life problems, in which classical fuzzy sets/models may fail to model properly. This paper introduces an algorithm for finding minimum spanning tree (MST) of an undirected neutrosophic weighted connected graph (abbr. UNWCG) where the arc/edge lengths are represented by a single valued neutrosophic numbers.
| Author | : Said Broumi |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, an algorithm for searching the minimum spanning tree (MST) in a network having trapezoidal fuzzy neutrosophic edge weight is presented.
| Author | : G. Upender Reddy |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The minimal spanning tree (MST) algorithms by using the edges weights were presented mainly by Prim’s and Kruskal’s algorithms. In this article we use the weights for the bipolar neutrosophic edges by using the score functions with the new model algorithms namely bipolar neutrosophic Prim’s algorithm and bipolar neutrosophic Kruskal’s algorithm. Further, we use the score functions to get the more appropriate results based on the algorithms.
| Author | : Masoud Ghods |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : 2020-10-01 |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we first define the Neutrosophic tree using the concept of the strong cycle. We then define a strong spanning Neutrosophic tree. In the following, we propose an algorithm for detecting the maximum spanning tree in Neutrosophic graphs. Next, we discuss the Connectivity index and related theorems for Neutrosophic trees.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 454 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: Parameter Reduction of Neutrosophic Soft Sets and Their Applications, Geometric Programming (NGP) Problems Subject to (⋁,.) Operator; the Minimum Solution, Ngpr Homeomorphism in Neutrosophic Topological Spaces, Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces.
| Author | : Liangsong Huang |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Fuzzy graph theory is a useful and well-known tool to model and solve many real-life optimization problems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems using a fuzzy graph. A neutrosophic graph can deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results.
| Author | : Smarandache, Florentin |
| Publisher | : IGI Global |
| Total Pages | : 406 |
| Release | : 2019-10-25 |
| Genre | : Computers |
| ISBN | : 1799813150 |
Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory and Algorithms is a collection of innovative research on the methods and applications of neutrosophic sets and logic within various fields including systems analysis, economics, and transportation. While highlighting topics including linear programming, decision-making methods, and homomorphism, this book is ideally designed for programmers, researchers, data scientists, mathematicians, designers, educators, researchers, academicians, and students seeking current research on the various methods and applications of graph theory.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 168 |
| Release | : 2018 |
| Genre | : Mathematics |
| ISBN | : 1599735814 |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
| Author | : Nguyen Xuan Thao |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we first propose the concept of divergence measure on neutrosophic sets. We also provide some formulas for the divergence measure for neutrosophic sets. After that, we investigate the properties of proposed neutrosophic divergence measure. Finally, we also apply these formulas in medical problem and the classification problem.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 207 |
| Release | : 2017 |
| Genre | : Data envelopment analysis |
| ISBN | : 1599735377 |
This book treats all kind of data in neutrosophic environment, with real-life applications, approaching topics as linear programming problem, linear fractional programming, integer programming, triangular neutrosophic numbers, single valued triangular neutrosophic number, neutrosophic optimization, goal programming problem, Taylor series, multi-objective programming problem, neutrosophic geometric programming, neutrosophic topology, neutrosophic open set, neutrosophic semi-open set, neutrosophic continuous function, cylindrical skin plate design, neutrosophic MULTIMOORA, alternative solutions, decision matrix, ratio system, reference point method, full multiplicative form, ordinal dominance, standard error, market research, and so on. The selected papers deal with the alleviation of world changes, including changing demographics, accelerating globalization, rising environmental concerns, evolving societal relationships, growing ethical and governance concern, expanding the impact of technology; some of these changes have impacted negatively the economic growth of private firms, governments, communities, and the whole society.
